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A Bijection between Unbalanced Dyck Path and NE Lattice Path

Published 6 Jun 2023 in math.GM | (2306.04453v2)

Abstract: Lattice paths are important tools on solving some combinatorial identities. This note gives a new bijection between unbalanced Dyck path (a path that never reaches the diagonal of the lattice) and NE (North and East only) lattice path from (0,0) to (n,n) by several partial reflections.

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